{"id":"https://openalex.org/W4385688649","doi":"https://doi.org/10.1109/ssp53291.2023.10208018","title":"Fast Adaptive Cross Tubal Tensor Approximation","display_name":"Fast Adaptive Cross Tubal Tensor Approximation","publication_year":2023,"publication_date":"2023-07-02","ids":{"openalex":"https://openalex.org/W4385688649","doi":"https://doi.org/10.1109/ssp53291.2023.10208018"},"language":"en","primary_location":{"id":"doi:10.1109/ssp53291.2023.10208018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp53291.2023.10208018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070748575","display_name":"Salman Ahmadi\u2010Asl","orcid":"https://orcid.org/0000-0002-2614-0146"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Salman Ahmadi-Asl","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052051065","display_name":"Anh Huy Phan","orcid":"https://orcid.org/0000-0002-5509-7773"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anh-Huy Phan","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Andrzej Cichocki","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101726349","display_name":"Ashish Jha","orcid":"https://orcid.org/0000-0001-9303-0230"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ashish Jha","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091920999","display_name":"Anastasia Sozykina","orcid":null},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anastasia Sozykina","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100384686","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0002-1305-5735"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Jun Wang","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004111307","display_name":"Ivan Oseledets","orcid":"https://orcid.org/0000-0003-2071-2163"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ivan Oseledets","raw_affiliation_strings":["Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology,Center for Artificial Intelligence Technology,Moscow,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Center for Artificial Intelligence Technology, Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5070748575"],"corresponding_institution_ids":["https://openalex.org/I125989756"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0942029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"552","last_page":"556"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9355999827384949,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.7924480438232422},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7433490753173828},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6919764280319214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6206195950508118},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5908917188644409},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5421777963638306},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.5150175094604492},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.4163263738155365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3877718448638916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34034088253974915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33945971727371216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26290595531463623},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13904297351837158}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.7924480438232422},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7433490753173828},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6919764280319214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6206195950508118},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5908917188644409},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5421777963638306},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5150175094604492},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.4163263738155365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3877718448638916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34034088253974915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33945971727371216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26290595531463623},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13904297351837158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ssp53291.2023.10208018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp53291.2023.10208018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323573","display_name":"Ministry of Education and Science","ror":"https://ror.org/053pcb396"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1922005389","https://openalex.org/W1968376936","https://openalex.org/W1969720662","https://openalex.org/W1976986637","https://openalex.org/W1980906180","https://openalex.org/W1992426838","https://openalex.org/W1993482030","https://openalex.org/W2040888417","https://openalex.org/W2043571470","https://openalex.org/W2111025459","https://openalex.org/W2159994240","https://openalex.org/W2258054274","https://openalex.org/W2313715311","https://openalex.org/W2431890537","https://openalex.org/W2496219407","https://openalex.org/W2904192238","https://openalex.org/W2963885538","https://openalex.org/W2986999591","https://openalex.org/W3187415662","https://openalex.org/W4206351426","https://openalex.org/W6717575008","https://openalex.org/W6769105607"],"related_works":["https://openalex.org/W2950186459","https://openalex.org/W2170114491","https://openalex.org/W2766870359","https://openalex.org/W2897298721","https://openalex.org/W2242624680","https://openalex.org/W2136127937","https://openalex.org/W4292636185","https://openalex.org/W4290987221","https://openalex.org/W2050785904","https://openalex.org/W2216309014"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,94],"proposing":[4],"a":[5,25,49,54],"new":[6],"efficient":[7],"adaptive":[8],"algorithm":[9,19,45],"for":[10,67],"the":[11,22,30,43,95,103],"computation":[12],"of":[13,24,42,51,90,115],"tensor":[14,28],"SVD":[15],"(t-SVD).":[16],"The":[17,39],"proposed":[18,44,104],"can":[20,106],"estimate":[21],"tubal-rank":[23,33],"given":[26,35],"third-order":[27],"and":[29,53,75,80,113],"corresponding":[31],"low":[32],"approximation":[34,37],"an":[36],"tolerance.":[38],"main":[40],"advantage":[41],"is":[46,65,100],"using":[47],"only":[48],"part":[50],"lateral":[52],"horizontal":[55],"slices":[56],"at":[57],"each":[58],"iteration":[59],"in":[60,81,110],"its":[61],"computations.":[62],"So,":[63],"it":[64],"applicable":[66],"decomposing":[68],"large-scale":[69],"data":[70],"tensors.":[71],"Simulations":[72],"on":[73],"synthetics":[74],"real-world":[76],"datasets":[77],"are":[78],"provided":[79],"some":[82],"cases,":[83],"we":[84],"achieve":[85],"more":[86],"than":[87],"one":[88],"order":[89],"magnitude":[91],"acceleration":[92],"compared":[93],"classical":[96],"truncated":[97],"t-SVD.":[98],"It":[99],"shown":[101],"that":[102],"approach":[105],"potentially":[107],"be":[108],"used":[109],"deep":[111],"learning":[112],"internet":[114],"things":[116],"applications.":[117]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
